{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Benchmark and Repositories"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "%matplotlib inline\n",
    "from matplotlib import pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "import pandas as pd\n",
    "\n",
    "default_edge_color = 'gray'\n",
    "default_node_color = '#407cc9'\n",
    "enhanced_node_color = '#f5b042'\n",
    "enhanced_edge_color = '#cc2f04'"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "output_dir = \"./figures\""
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "def draw_graph(G, node_names={}, filename=None, node_size=50, layout = None):\n",
    "    pos_nodes = nx.spring_layout(G) if layout is None else layout(G)\n",
    "    nx.draw(G, pos_nodes, with_labels=False, node_size=node_size, edge_color='gray')\n",
    "  \n",
    "    pos_attrs = {}\n",
    "    for node, coords in pos_nodes.items():\n",
    "        pos_attrs[node] = (coords[0], coords[1] + 0.08)\n",
    "  \n",
    "    nx.draw_networkx_labels(G, pos_attrs, labels=node_names, font_family='serif')\n",
    "  \n",
    "    plt.axis('off')\n",
    "    axis = plt.gca()\n",
    "    axis.set_xlim([1.2*x for x in axis.get_xlim()])\n",
    "    axis.set_ylim([1.2*y for y in axis.get_ylim()])\n",
    "  \n",
    "    if filename:\n",
    "        plt.savefig(os.path.join(output_dir, filename), format=\"png\")\n",
    "\n",
    "\n",
    "# draw enhanced path on the graph\n",
    "def draw_enhanced_path(G, path_to_enhance, node_names={}, filename=None, layout=None):\n",
    "    path_edges = list(zip(path,path[1:]))\n",
    "    pos_nodes = nx.spring_layout(G) if layout is None else layout(G)\n",
    "    \n",
    "    plt.figure(figsize=(5,5),dpi=300)\n",
    "    pos_nodes = nx.spring_layout(G)\n",
    "    nx.draw(G, pos_nodes, with_labels=False, node_size=50, edge_color='gray')\n",
    "  \n",
    "    pos_attrs = {}\n",
    "    for node, coords in pos_nodes.items():\n",
    "        pos_attrs[node] = (coords[0], coords[1] + 0.08)\n",
    "  \n",
    "    nx.draw_networkx_labels(G, pos_attrs, labels=node_names, font_family='serif')\n",
    "    nx.draw_networkx_edges(G,pos_nodes,edgelist=path_edges, edge_color='#cc2f04', style='dashed', width=2.0)\n",
    "  \n",
    "    plt.axis('off')\n",
    "    axis = plt.gca()\n",
    "    axis.set_xlim([1.2*x for x in axis.get_xlim()])\n",
    "    axis.set_ylim([1.2*y for y in axis.get_ylim()])\n",
    "  \n",
    "    if filename:\n",
    "        plt.savefig(os.path.join(output_dir, filename), format=\"png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Simple Example of Graphs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We start with some simple graphs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "complete = nx.complete_graph(n=7)\n",
    "lollipop = nx.lollipop_graph(m=7, n=3)\n",
    "barbell = nx.barbell_graph(m1=7, m2=4)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,6))\n",
    "plt.subplot(1,3,1)\n",
    "draw_graph(complete)\n",
    "plt.title(\"Complete\")\n",
    "plt.subplot(1,3,2)\n",
    "plt.title(\"Lollipop\")\n",
    "draw_graph(lollipop)\n",
    "plt.subplot(1,3,3)\n",
    "plt.title(\"Barbell\")\n",
    "draw_graph(barbell)\n",
    "plt.savefig(os.path.join(output_dir, \"SimpleGraphs.png\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "complete = nx.relabel_nodes(nx.complete_graph(n=7), lambda x: x + 0)\n",
    "lollipop = nx.relabel_nodes(nx.lollipop_graph(m=7, n=3), lambda x: x+100)\n",
    "barbell = nx.relabel_nodes(nx.barbell_graph(m1=7, m2=4), lambda x: x+200)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "def get_random_node(graph):\n",
    "    return np.random.choice(graph.nodes)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## We compose simple graphs into one"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "allGraphs = nx.compose_all([complete, barbell, lollipop])\n",
    "allGraphs.add_edge(get_random_node(lollipop), get_random_node(lollipop))\n",
    "allGraphs.add_edge(get_random_node(complete), get_random_node(barbell))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_graph(allGraphs, layout=nx.kamada_kawai_layout)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "#### Model Barabasi Albert"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "In the following we create and analyse some simple graph generated by the Barabasi-Albert model "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "BA_graph_small = nx.extended_barabasi_albert_graph(n=20,m=1,p=0,q=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "draw_graph(BA_graph_small, layout=nx.circular_layout)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "We analyse large Barabasi-Albert graphs to investigate their ability to generate power-law distribution for the degree of node"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "n = 1E5\n",
    "bag = nx.extended_barabasi_albert_graph(n,m=1,p=0,q=0)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [],
   "source": [
    "degree = dict(nx.degree(bag)).values()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "bins = np.round(np.logspace(np.log10(min(degree)), np.log10(max(degree)), 10))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "from collections import Counter\n",
    "cnt = Counter(np.digitize(np.array(list(degree)), bins))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 2 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,6))\n",
    "plt.subplot(1,2,1)\n",
    "draw_graph(BA_graph_small, layout=nx.circular_layout)\n",
    "plt.subplot(1,2,2)\n",
    "x, y = list(zip(*[(bins[k-1], v/n) for k, v in cnt.items()]))\n",
    "plt.plot(x, y, 'o'); plt.xscale(\"log\"); plt.yscale(\"log\")\n",
    "plt.xlabel(\"Degree k\")\n",
    "plt.ylabel(\"P(k)\")\n",
    "plt.savefig(os.path.join(output_dir, \"Barabasi_Albert.png\"))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 20,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1080x432 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15, 6))\n",
    "\n",
    "plt.hist(degree, bins=bins)\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Other simple graph Benchmarks"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 22,
   "metadata": {},
   "outputs": [],
   "source": [
    "graph = nx.florentine_families_graph()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "nx.draw_kamada_kawai(graph, with_labels=True, node_size=20, font_size=14)\n",
    "plt.savefig(\"Florentine.png\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Benchmarks from the Network Data Repository"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "This dataset (and other) can be downloaded from http://networkrepository.com/. The datasets are generally in the MTX file format that has been described in the book. \n",
    "\n",
    "In particular the dataset here presented is taken from the collaboration network of Arxiv Astro Physics, that can be downloaded from http://networkrepository.com/ca-AstroPh.php.\n",
    "\n",
    "As better explained in the book, some of the files that can be downloaded from that source are somewhat non-standard and needs small fixes. Please make sure the header of the file has the following \n",
    "\n",
    "*%%MatrixMarket matrix coordinate pattern symmetric*\n",
    "\n",
    "with a double %"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 24,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy.io import mmread"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 25,
   "metadata": {},
   "outputs": [],
   "source": [
    "file = \"ca-AstroPh.mtx\"\n",
    "adj_matrix = mmread(file)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 26,
   "metadata": {},
   "outputs": [],
   "source": [
    "graph = nx.from_scipy_sparse_matrix(adj_matrix)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "degrees = dict(nx.degree(graph))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 28,
   "metadata": {},
   "outputs": [],
   "source": [
    "ci = nx.clustering(graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 29,
   "metadata": {},
   "outputs": [],
   "source": [
    "centrality = nx.centrality.eigenvector_centrality(graph)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "stats = pd.DataFrame({\n",
    "    \"centrality\": centrality, \n",
    "    \"C_i\": ci, \n",
    "    \"degree\": degrees\n",
    "})"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 31,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>centrality</th>\n",
       "      <th>C_i</th>\n",
       "      <th>degree</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>8.901198e-05</td>\n",
       "      <td>0.692137</td>\n",
       "      <td>43</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>3.208282e-10</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>3.407931e-04</td>\n",
       "      <td>0.242424</td>\n",
       "      <td>12</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>4.290384e-06</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>1</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>6.722036e-07</td>\n",
       "      <td>1.000000</td>\n",
       "      <td>2</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "     centrality       C_i  degree\n",
       "0  8.901198e-05  0.692137      43\n",
       "1  3.208282e-10  1.000000       2\n",
       "2  3.407931e-04  0.242424      12\n",
       "3  4.290384e-06  0.000000       1\n",
       "4  6.722036e-07  1.000000       2"
      ]
     },
     "execution_count": 31,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "stats.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we provide some simple analysis of the DataFrame we generated to see correlations between centrality, clustering coefficient and degree. "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(stats[\"centrality\"], stats[\"degree\"], 'o')\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(stats[\"centrality\"], stats[\"C_i\"], 'o')\n",
    "plt.xscale(\"log\")\n",
    "plt.yscale(\"log\")"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Ego-network "
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we plot the ego-network of the most-connected node, that has id 6933. However, even this network looks a bit messy since it has hundreds of nodes. We therefore sample randomly or based on centrality/clustering coefficient in order to plot a relevant subgraph."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [],
   "source": [
    "neighbors = [n for n in nx.neighbors(graph, 6933)]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "sampling = 0.1"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [],
   "source": [
    "nTop = round(len(neighbors)*sampling)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 37,
   "metadata": {},
   "outputs": [],
   "source": [
    "idx = {\n",
    "    \"random\": stats.loc[neighbors].sort_index().index[:nTop], \n",
    "    \"centrality\": stats.loc[neighbors].sort_values(\"centrality\", ascending=False).index[:nTop],\n",
    "    \"C_i\": stats.loc[neighbors].sort_values(\"C_i\", ascending=False).index[:nTop]\n",
    "}"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plotSubgraph(graph, indices, center = 6933):\n",
    "    draw_graph(\n",
    "        nx.subgraph(graph, list(indices) + [center]),\n",
    "        layout = nx.kamada_kawai_layout\n",
    "    )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 1080x432 with 3 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure(figsize=(15,6))\n",
    "for ith, title in enumerate([\"random\", \"centrality\", \"C_i\"]):\n",
    "    plt.subplot(1,3,ith+1)\n",
    "    plotSubgraph(graph, idx[title])\n",
    "    plt.title(title)\n",
    "plt.savefig(os.path.join(output_dir, \"PhAstro\"))"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Data to Gephi"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Otherwise, we could also export the data from networkx in order to plot it and analyse it using the Gephi software."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "nx.write_gexf(graph, 'ca-AstroPh.gexf')"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Bipartite Graphs"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [],
   "source": [
    "n=10\n",
    "\n",
    "n_nodes = 10\n",
    "n_edges = 12\n",
    "\n",
    "bottom_nodes = [ith for ith in range(n) if int(ith) % 2 == 0]\n",
    "top_nodes = [ith for ith in range(n) if int(ith) % 2 == 1.0]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 42,
   "metadata": {},
   "outputs": [],
   "source": [
    "iter_edges = zip(np.random.choice(bottom_nodes, n_edges), np.random.choice(top_nodes, n_edges))\n",
    "\n",
    "edges = pd.DataFrame([{\"source\": a, \"target\": b} for a, b in iter_edges])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "\n",
    "\n",
    "B = nx.Graph()\n",
    "\n",
    "B.add_nodes_from(bottom_nodes, bipartite=0)\n",
    "B.add_nodes_from(top_nodes, bipartite=1)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "B.add_edges_from([tuple(x) for x in edges.values])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "from networkx.drawing.layout import bipartite_layout"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "pos = bipartite_layout(B, bottom_nodes)\n",
    "\n",
    "nx.draw_networkx(B, pos=pos)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "ml-book-1",
   "language": "python",
   "name": "ml-book-1"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
